1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Four point masses, each of value $$m,$$ are placed at the corners of a square $$ABCD$$ of side $$l$$. The moment of inertia of this system about an axis passing through $$A$$ and parallel to $$BD$$ is
A
$$2m{l^2}$$
B
$$\sqrt 3 m{l^2}$$
C
$$3m{l^2}$$
D
$$m{l^2}$$
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $$v = \alpha \sqrt x $$. The displacement of the particle varies with time as
A
t2
B
t
C
t1/2
D
t3
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A mass of $$M$$ $$kg$$ is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of $${45^ \circ }$$ with the initial vertical direction is
A
$$Mg\left( {\sqrt 2 + 1} \right)$$
B
$$Mg\sqrt 2 $$
C
$${{Mg} \over {\sqrt 2 }}$$
D
$$Mg\left( {\sqrt 2 - 1} \right)$$
4
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A ball of mass $$0.2$$ $$kg$$ is thrown vertically upwards by applying a force by hand. If the hand moves $$0.2$$ $$m$$ while applying the force and the ball goes upto $$2$$ $$m$$ height further, find the magnitude of the force. (consider $$g = 10\,m/{s^2}$$).
A
$$4N$$
B
$$16$$ $$N$$
C
$$20$$ $$N$$
D
$$22$$ $$N$$
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